An explicit local basis for C1 cubic spline spaces over a triangulated quadrangulation

Authors:
Huan-Wen Liu;Don Hong
Affiliations:
Department of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, Guangxi 530006, People's Republic of China;Department of Mathematics, East Tennessee State University, Johnson City, TN
Venue:
Journal of Computational and Applied Mathematics - Special issue: Approximation theory, wavelets, and numerical analysis
Year:
2003

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Abstract

Let S31 (♦) be the bivariate C1-cubic spline space over a triangulated quadrangulation ♦. In this paper, an explicit representation of a locally supported basis of S31 (♦) is given using the interpolation conditions at vertices.